Geometric design of a pinion with two circularly arrayed conical teeth for roller drives

2006 ◽  
Vol 220 (9) ◽  
pp. 1405-1412 ◽  
Author(s):  
T-S Lai
Keyword(s):  
Mathematical Model ◽  
Coordinate Transformation ◽  
Geometric Design ◽  
Solid Modelling ◽  
Design Algorithm ◽  
Circular Arrays ◽  
Roller Drive ◽  
New Type ◽  
Design Case ◽  
Envelope Theory

This article presents a mathematical model and geometric design algorithm for a new type of roller drive. The pinion has conical teeth in two circular arrays instead of one. This work is based on coordinate transformation and envelope theory, from which the equation of meshing of the cycloid drive is derived. The pinion profiles are the equidistant curves of the epicycloid profiles except the contour of the pinion conical tooth holes. Although there are twice as many pinion teeth as conventional rollers, their speed ratios are identical. This approach can design roller drives in which the pinion has two circular arrays of conical and cylindrical rollers. On the basis of these results, the corresponding solid modelling is constructed by CAD. Four examples are presented to demonstrate the feasibility of this approach. These examples can be a useful reference as a design case for other tooth profiles.

Geometric Design of the Pinion with Two Circularly Arrayed Cylindrical Teeth for Roller Drives

2006 ◽  
Vol 505-507 ◽  
pp. 931-936
Author(s):  
Ta Shi Lai
Keyword(s):  
Coordinate Transformation ◽  
Geometric Design ◽  
The Real ◽  
Design Procedures ◽  
Roller Drive ◽  
New Type ◽  
Envelope Theory

This paper presents geometric design procedures for a new type of roller drive. Here, the pinion has two circularly arrayed cylindrical teeth instead of one circularly arrayed. This proposal is based on coordinate transformation and envelope theory, from which the epicycloid profiles are obtained. The centers of the cylindrical teeth of the pinion are determined by equidistant offset a distance 3 ρ (pinion-tooth radius). The real pinion profiles are the equidistant curve of the epicycloid profiles. Two examples are presented to demonstrate that this approach is feasible.

Research on an axial-mounted dual magnetostrictive material rods-based electro-hydrostatic actuator

2021 ◽  
pp. 1045389X2110145
Author(s):  
Yuchuan Zhu ◽  
Chang Liu ◽  
Yunze Song ◽  
Long Chen ◽  
Yulei Jiang ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Flow Rate ◽  
Flow Distribution ◽  
Maximum Flow ◽  
Magnetostrictive Material ◽  
Simulation Techniques ◽  
Motion State ◽  
New Type ◽  
Output Characteristics ◽  
Active Rectification

In this paper, an electro-hydrostatic actuator driven by dual axial-mounted magnetostrictive material rods-based pumps (MMPs) with a new type of active rectification valve is designed in the current study. Based on flow distribution of the active rectification valve and driving energy provided by two MMPs, the actuator can output continuous and bidirectional displacement. By establishing a mathematical model of the actuating system, using simulation techniques, the change rule of hydraulic cylinder’s motion state caused by different driving signals are studied and analyzed. Test equipment platform is constructed in the laboratory to test the output characteristics and confirm the feasibility of the new concept. The experimental results indicate that the maximum flow rate can reach approximately 2.7 L·min−1, while the operating frequency is 180 Hz.

Features of geometric design of planetary rotary hydraulic machines with satellite stands

2020 ◽  
pp. 472-478
Author(s):  
D.V. Fadyushin ◽  
G.Yu. Volkov
Keyword(s):  
Three Dimensional ◽  
Geometric Design ◽  
Design System ◽  
Link Mechanism ◽  
Hydraulic Machines ◽  
New Type ◽  
Geometric Calculation

А method of geometric calculation of a new type of planetary rotary hydraulic machines (PRGM) with satellite stands is developed. The method includes the steps of: 1) calculation of the initial round-link mechanism; 2) calculation of non-round links of the PRGM with outstretches; 3) construction and integration of three-dimensional design system COMPAS-3D fragments of crenellated crowns corresponding to the phases of abutments and lifting-lowering satellites; 4) correction of the toothed contours to eliminate the phenomenon of mismatch of satellite centers with the points of intersection of the trajectories of these centers in their movement relative to the rotor and stator. PRGM with satellite stands are designed to operate as vacuum pumps, compressors and pneumatic motors.

Simulation and 3D-Solid Modeling of Skew Bevel Gear

2011 ◽  
Vol 121-126 ◽  
pp. 4685-4689
Author(s):  
Luo Ping Zhang ◽  
Jing Fu ◽  
Bo Yuan Yang
Keyword(s):  
Mathematical Model ◽  
Basic Concept ◽  
Grid Point ◽  
Counting Function ◽  
Tooth Surface ◽  
Solid Modelling ◽  
Kinematics Analysis ◽  
Bevel Gears ◽  
3D Solid ◽  
3D Solid Modeling

In this paper, the basic concept and specific steps of establishing skew bevel gears mathematical model using conjugate meshing principle was introduced. Numerical value counting function of MATLAB was used to collect coordinate of tooth surface grid point, and under the Pro/E environment, data document of coordinate created by MATLAB was imported to establish tooth surface modeling , relying on the powerful function of complicated curve modelling, 3D solid modelling of gear was completed. The results via motion analysis kinematics analysis and interference inspecting under assembling condition show the accuracy of the design ,which supports further design, analysis and manufacture.

Research for Tool Face Mathematical Model of Multi-Facet Drills Used in Processing High Manganese Steel

2011 ◽  
Vol 299-300 ◽  
pp. 936-939
Author(s):  
Li Xu ◽  
Liang Yang ◽  
Zhi Hui Shi
Keyword(s):  
Mathematical Model ◽  
Manganese Steel ◽  
Design Parameters ◽  
High Manganese ◽  
High Manganese Steel ◽  
Drilling Tool ◽  
Grinding Method ◽  
Grinding Parameters ◽  
New Type ◽  
Drill Point

The multi-facet drill shows good performance during materials are difficultly machined. However, for a new type of the drilling point, the grinding has been the main problem that restricts its application. To properly grinding the drill point confirms the design parameters, the relationship between design parameters and grinding parameters must be resolved. The mathematical model is the key to solve this problem. In this paper, according to the design of the high manganese steel drilling tool, a mathematical model has been established by the plane grinding method to solve grinding parameters, and to achieve improved mechanical grinding of drill point.

A Hybrid Expert System–Nonlinear Programming Approach to Optimal Gear Design

1989 ◽  
Author(s):  
K.-C. Lin ◽  
G. E. Johnson
Keyword(s):  
Mathematical Model ◽  
Expert System ◽  
Spur Gear ◽  
Design Guidelines ◽  
Geometric Design ◽  
Geometric Constraints ◽  
Programming Approach ◽  
Gear Design ◽  
Design Variables ◽  
Short Period

Abstract An expert system is developed for optimal spur gear design. Design automation is accomplished by dividing the design variables into different categories, i.e. geometric design variables and non-geometric design variables. The geometric variables are further divided into terms that are related to the gear mathematical model and terms that are determined according to the designer’s experience. By properly developing the mathematical model, numerical optimisation can be used to seek the best solution for a given set of geometric constraints. The process of determining the non-geometric design variables is automated by using symbolic computation. This gear design expert system is built according to the AGMA standards and a survey of gear design experts. The recommendations of gear designers and the information provided by AGMA standards are integrated into knowledge bases and data bases. By providing fast information retrieval and design guidelines, this expert system greatly streamlines the spur gear design process and makes it possible for a novice designer to achieve a reliable design in a short period of time.

scholarly journals Frequency Diversity Array for Near-Field Focusing

Electronics ◽  
2020 ◽  
Vol 9 (6) ◽  
pp. 958
Author(s):  
Xu Han ◽  
Shuai Ding ◽  
Yongmao Huang ◽  
Yuliang Zhou ◽  
Huan Tang ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Numerical Methods ◽  
Numerical Optimization ◽  
Near Field ◽  
Optimization Method ◽  
Frequency Diversity ◽  
Initial Amplitude ◽  
Full Wave ◽  
Circular Arrays ◽  
Working Frequency

In this study, a numerical optimization method is proposed to achieve the near-field focusing of square arrays and circular arrays. This method introduced the frequency diversity array (FDA) approach to change the initial amplitude and working frequency. By adjusting the working state of each antenna, the field distribution on any plane can be artificially controlled. To analyze the FDA, a mathematical model for the FDA has been built and the model has been optimized by a numerical algorithm. The results of two different kinds of arrays are verified by numerical methods and full-wave simulation.

Stiffness Performance Simulation and Testing of a New Type Integrated Suspension Strut

2012 ◽  
Vol 472-475 ◽  
pp. 2760-2765
Author(s):  
Hao Bin Jiang ◽  
Ying Jun Du ◽  
Shen Chen Ye
Keyword(s):  
Mathematical Model ◽  
Fluid Mechanics ◽  
Vertical Vibration ◽  
Bench Test ◽  
Test Results ◽  
Performance Simulation ◽  
Body Roll ◽  
New Type ◽  
Simulation Results ◽  
Stiffness Characteristics

The design scheme of a new type strut was put forward, whose stiffness characteristics can undertake linkage control. The structure and basic principle of this new suspension component were introduced. According to fluid mechanics and thermodynamics, a mathematical model for the stroke dependent stiffness characteristics of the strut was established, and the stiffness characteristics were analyzed by using software SIMULINK. Then the stiffness performance bench test of the strut specimen was carried out for verification. Results show that the test results agree well with the simulation results. It is verified that the established mathematical model is correct and the stiffness of this strut shows nonlinear changes vary with the displacement of piston. When the suspension is largely impacted, the stiffness of this strut increases quickly which could restrain the wheel bouncing, body roll and vertical vibration.

A study of the geometric design and gas port of the claw-type rotor

2009 ◽  
Vol 223 (9) ◽  
pp. 2063-2069 ◽  
Author(s):  
C-F Hsieh
Keyword(s):  
Mathematical Model ◽  
Geometric Design ◽  
Parameter Design ◽  
Simple Mathematical Model ◽  
Area Efficiency ◽  
Pumping Efficiency ◽  
Rotor Profiles

This article presents a simple mathematical model for the geometric design of a claw-type rotor. Based on the parameter design, the different claw shapes can be produced, and the design of gas ports and the fluid carryover will be discussed. Hence, a better design course will be proposed for the design of gas ports. Additionally, feasible design regions of the parameters are determined for avoiding the interference between two rotor profiles. Finally, the pumping efficiency will be estimated by the comparisons of carryover area and area efficiency in varied parameters designs. These results can indicate a better design course for the designer.

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